3 papers
math.SP2026
The calculus of Duistermaat's triple index
Gregory Berkolaiko, Graham Cox, Yuri Latushkin +1
In this paper we develop a systematic calculus for the Duistermaat index, a symplectic invariant defined for triples of Lagrangian subspaces. Introduced nearly half a century ago,…
math.SP2026
Stability of Ginzburg-Landau pulses via Fredholm determinants of Birman-Schwinger operators
Erika Gallo, John Zweck, Yuri Latushkin
We introduce a numerical method to determine the stability of stationary pulse solutions of the complex Ginzburg-Landau equation. The method involves the computation of the point s…
math.NA2025
Numerical Fredholm determinants for matrix-valued kernels on the real line
Erika Gallo, John Zweck, Yuri Latushkin
We analyze a numerical method for computing Fredholm determinants of trace class and Hilbert Schmidt integral operators defined in terms of matrix-valued kernels on the entire real…